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Questions and Answers
What is the property of operation that states the order of numbers does not change the result?
What is the property of operation that states the order of numbers does not change the result?
Which type of number includes all rational and irrational numbers?
Which type of number includes all rational and irrational numbers?
What type of number is π?
What type of number is π?
What type of number can be expressed as the ratio of two integers?
What type of number can be expressed as the ratio of two integers?
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What is the term for a visual representation of numbers on a line?
What is the term for a visual representation of numbers on a line?
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What property of operation states that multiplication distributes over addition?
What property of operation states that multiplication distributes over addition?
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What type of number has both real and imaginary parts?
What type of number has both real and imaginary parts?
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What is the term for a point in a two-dimensional plane, with x-axis and y-axis?
What is the term for a point in a two-dimensional plane, with x-axis and y-axis?
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Study Notes
Number System
Types of Numbers
- Natural Numbers: Positive integers, e.g., 1, 2, 3, ...
- Whole Numbers: Non-negative integers, e.g., 0, 1, 2, 3, ...
- Integers: Positive, negative, and zero, e.g., ..., -3, -2, -1, 0, 1, 2, 3, ...
- Rational Numbers: Can be expressed as the ratio of two integers, e.g., 3/4, 22/7
- Irrational Numbers: Cannot be expressed as a ratio of integers, e.g., π, e
- Real Numbers: Includes rational and irrational numbers, e.g., 3, π, √2
- Complex Numbers: Numbers with both real and imaginary parts, e.g., 3 + 4i
Properties of Operations
- Commutative Property: The order of numbers does not change the result, e.g., 2 + 3 = 3 + 2
- Associative Property: The order in which numbers are grouped does not change the result, e.g., (2 + 3) + 4 = 2 + (3 + 4)
- Distributive Property: Multiplication distributes over addition, e.g., 2(3 + 4) = 2 × 3 + 2 × 4
Number Lines and Coordinate Geometry
- Number Lines: Visual representation of numbers on a line, with positive numbers to the right and negative numbers to the left
- Coordinate Geometry: Point (x, y) in a two-dimensional plane, with x-axis and y-axis
These notes provide a concise overview of the number system, covering types of numbers, properties of operations, and basic concepts in coordinate geometry.
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Description
Review the fundamentals of the number system, including types of numbers, properties of operations, and basic concepts in coordinate geometry. Test your understanding of natural numbers, whole numbers, integers, rational numbers, and more.
